Roots+and+Fractional+Exponents

=__**Roots and Fractional Exponents:**__=

1) What is a Fractional Exponent?

A fractional exponents is another way to write a root(√) method.

math x^{\frac{1}{2}}=\sqrt{x} math
 * Example #1:**

math (x^{\frac{1}{2}})^{2}=x^{\frac{2}{2}}=x^1=x math
 * Example #2:**

because what a square root is is (example: √4 = a ('a' is the answer to the √4 ) math \sqrt{4}=a math math 4^{\frac{1}{2}}= a math math (4^{\frac{1}{2}})^2= a^2 math math 4= a^2 math So a = 2 Therefore, the √4 = 2

2) If you see these kind of problems (, here is how you solve them:

math \sqrt[3]{2^{3}}=2^{\frac{3}{3}}=2^{1}=2 math
 * Example #4:**

math \sqrt[4]{3^{4}}=3^{\frac{4}{4}}=3^{1}=3 math
 * Example #5:**

What i just did was ignore everything else except the number you are square- rooting.

3) What do you do to evaluate a fractional exponent problem?

math 4^{2.5} = 4^2 * 4^{.5} math math = 16 *4^{.5} math = 16 x 2 = 32
 * Example #6:**